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Finding the Fourth Proportional to 6,847.16, 9,448.92 and 3,862.92

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Solution

The fourth proportional to 6,847.16, 9,448.92 and 3,862.92 is: 5,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.16 : 9,448.92 = 3,862.92 : x
  2. Step 2: Convert to fraction form
    6,847.16/9,448.92 = 3,862.92/x
  3. Step 3: Cross multiply
    6,847.16x = 9,448.92 × 3,862.92
  4. Step 4: Simplify right side
    6,847.16x = 36,500,422.05
  5. Step 5: Solve for x
    x = 36,500,422.05/6,847.16
  6. Step 6: Final answer
    x = 5,330.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.